478170240 has 256 divisors, whose sum is σ = 1607454720. Its totient is φ = 120766464.

The previous prime is 478170239. The next prime is 478170263. The reversal of 478170240 is 42071874.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765057 + ... + 3765183.

It is an arithmetic number, because the mean of its divisors is an integer number (6279120).

Almost surely, 2^478170240 is an apocalyptic number.

478170240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803727360).

478170240 is an abundant number, since it is smaller than the sum of its proper divisors (1129284480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478170240 is a wasteful number, since it uses less digits than its factorization.

478170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 478170240 is about 21867.1040606661. The cubic root of 478170240 is about 781.9773630023.

The spelling of 478170240 in words is "four hundred seventy-eight million, one hundred seventy thousand, two hundred forty".